Difference posets and the histories approach to quantum theories
type: Item
instance of: scholarly article
title: Difference posets and the histories approach to quantum theories
zbMATH Open document ID: 0832.03029
DOI: 10.1007/BF00672802
author: Sylvia Pulmannová
published in: International Journal of Theoretical Physics
publication date: 1995-06-13T00:00:00Z
review text: Difference posets (D-posets) are generalizations of orthomodular posets as well as of sets of all effects modelling event structures of physical systems. Gell-Mann and Hartle postulated a new approach to quantum theory in which the notion of so-called histories plays a fundamental role. In the present paper homogeneous histories are modelled by finite sequences of elements of a D-poset. Under certain assumptions the set of all histories admits the structure of a D-poset which can be obtained by constructing a direct limit of a directed system of finite tensor products of D-posets. Since effects represent unsharp measurements, by the mentioned approach ``unsharp'' histories are obtained.
reviewed by: Helmut Länger
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 81P10
Mathematics Subject Classification ID: 06A99
zbMATH DE Number: 763175
zbMATH Keywords: direct limit
zbMATH Keywords: orthomodular posets
zbMATH Keywords: effects
zbMATH Keywords: histories
zbMATH Keywords: tensor products
zbMATH Keywords: D-posets
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00672802
OpenAlex ID: W2106306591
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description: scientific article; zbMATH DE number 763175